Note on beta elements in homotopy, and an application to the prime three case

DOI10.1090/S0002-9939-09-10190-9zbMath1207.55013MaRDI QIDQ3552143

Katsumi Shimomura

Publication date: 13 April 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

homotopy groups of spheresAdams-Novikov spectral sequencesphere spectrumbeta elementRavenel's conjecture

Mathematics Subject Classification ID

Adams spectral sequences (55T15) Stable homotopy of spheres (55Q45)

Related Items (3)

A beta family in the homotopy of spheres ⋮ The beta elements \(\beta_{tp^2/r}\) in the homotopy of spheres ⋮ Beta families arising from a \(v_2^9\) self-map on \(S/(3, v_1^8)\)

Cites Work

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• Realizing some cyclic \(BP_*\)-modules and applications to stable homotopy of spheres
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• On Realizing Complex Bordism Modules IV Applications to the Stable Homotopy Groups of Spheres
• The homotopy groups of the 𝐿₂-localized Toda-Smith spectrum 𝑉(1) at the prime 3
• A new family in the stable homotopy groups of spheres

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